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Finding the Fourth Proportional to 3,046.65, 4,570.02 and 966.67

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Solution

The fourth proportional to 3,046.65, 4,570.02 and 966.67 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.65 : 4,570.02 = 966.67 : x
  2. Step 2: Convert to fraction form
    3,046.65/4,570.02 = 966.67/x
  3. Step 3: Cross multiply
    3,046.65x = 4,570.02 × 966.67
  4. Step 4: Simplify right side
    3,046.65x = 4,417,701.23
  5. Step 5: Solve for x
    x = 4,417,701.23/3,046.65
  6. Step 6: Final answer
    x = 1,450.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.